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Former Research Group

Algebraic Geometry - Publications

Explore the scholarly works of the "Algebraic Geometry" group. Browse journal articles, contributions in books and conference proceedings, academic theses, or discover our research through preprints.

inJournal
2025 Repository Open Access
Eduard Duryev and Leonid Monin

Eigenforms of hyperelliptic curves with many automorphisms

In: Advances in geometry, 25 (2025) 4, pp. 429-437
BibTex DOI: 10.1515/advgeom-2025-0023 ArXiv: 2104.08920
inJournal
2025 Repository Open Access
Lukas Kühne and Leonid Monin

Faces of cosmological polytopes

In: Annales de l'Institut Henri Poincaré / D, 12 (2025) 3, pp. 445-461
BibTex DOI: 10.4171/aihpd/192 ArXiv: 2209.08069
inJournal
2025 Repository Open Access
Yassine El Maazouz and Enis Kaya

Sampling from \(p\)-adic manifolds

In: SIAM journal on applied algebra and geometry, 9 (2025) 2, pp. 343-373
BibTex DOI: 10.1137/24M163774X ArXiv: 2207.05911 Code: mathrepo.mis.mpg.de
inJournal
2025 Repository Open Access
Paul Breiding, Mateusz Michałek, Leonid Monin and Simon Telen

The algebraic degree of coupled oscillators

In: Advances in mathematics, 480 (2025) Part B, p. 110492
BibTex DOI: 10.1016/j.aim.2025.110492 ArXiv: 2208.08179
inJournal
2024 Repository Open Access
Claudia Fevola and Yelena Mandelshtam

Hirota varieties and rational nodal curves

In: Journal of symbolic computation, 120 (2024), p. 102239
BibTex DOI: 10.1016/j.jsc.2023.102239 ArXiv: 2203.00203 Code: mathrepo.mis.mpg.de
inJournal
2024 Repository Open Access
İrem Portakal and Javier Sendra-Arranz

Nash conditional independence curve

In: Journal of symbolic computation, 122 (2024), p. 102255
BibTex DOI: 10.1016/j.jsc.2023.102255 ArXiv: 2206.07000
inJournal
2024 Journal Open Access
Daniele Agostini, Hannah Markwig, Clemens Nollau, Victoria Schleis, Javier Sendra-Arranz and Bernd Sturmfels

Recovery of plane curves from branch points

In: Discrete and computational geometry, 72 (2024) 2, pp. 451-475
BibTex DOI: 10.1007/s00454-023-00538-5 ArXiv: 2205.11287 Code: mathrepo.mis.mpg.de
inJournal
2024 Repository Open Access
Daniele Agostini

The Martens-Mumford theorem and the Green-Lazarsfeld secant conjecture

In: Journal of algebraic geometry, 33 (2024), pp. 629-654
BibTex DOI: 10.1090/jag/819 ArXiv: 2110.03561
inJournal
2024 Repository Open Access
Paul Alexander Helminck, Yassine El Maazouz and Enis Kaya

Tropical invariants for binary quintics and reduction types of Picard curves

In: Glasgow mathematical journal, 66 (2024) 1, pp. 65-87
BibTex DOI: 10.1017/S0017089523000344 ArXiv: 2206.00420 Code: mathrepo.mis.mpg.de
inJournal
2024 Repository Open Access
Daniele Agostini, Claudia Fevola, Anna-Laura Sattelberger and Simon Telen

Vector spaces of generalized Euler integrals

In: Communications in number theory and physics, 18 (2024) 2, pp. 327-370
BibTex DOI: 10.4310/CNTP.2024.v18.n2.a2 ArXiv: 2208.08967 Code: mathrepo.mis.mpg.de
Academic
2023 Repository Open Access
Claudia Fevola

Computation and physics in algebraic geometry

Dissertation, Universität Leipzig, 2023
BibTex Link: nbn-resolving.org
inJournal
2023 Repository Open Access
Daniele Agostini, Claudia Fevola, Yelena Mandelshtam and Bernd Sturmfels

KP solitons from tropical limits

In: Journal of symbolic computation, 114 (2023), pp. 282-301
BibTex DOI: 10.1016/j.jsc.2022.04.009 ArXiv: 2101.10392 Code: mathrepo.mis.mpg.de
inJournal
2023 Repository Open Access
Daniele Agostini, Taylor Brysiewicz, Claudia Fevola, Lukas Kühne, Bernd Sturmfels and Simon Telen

Likelihood degenerations

In: Advances in mathematics, 414 (2023), p. 108863
BibTex DOI: 10.1016/j.aim.2023.108863 ArXiv: 2107.10518 Code: mathrepo.mis.mpg.de
inJournal
2023 Repository Open Access
Rida Ait El Manssour, Yassine El Maazouz, Enis Kaya and Kemal Rose

Lines on \(p\)-adic and real cubic surfaces

In: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 93 (2023) 2, pp. 149-162
BibTex DOI: 10.1007/s12188-023-00269-7 ArXiv: 2202.03489 Code: mathrepo.mis.mpg.de
inJournal
2023 Repository Open Access
Daniele Agostini, Ignacio Barros and Kuan-Wen Lai

On the irrationality of moduli spaces of K3 surfaces

In: Transactions of the American Mathematical Society, 376 (2023) 2, pp. 1407-1426
BibTex DOI: 10.1090/tran/8830 ArXiv: 2011.11025
inJournal
2022 Repository Open Access
Leonid Monin, Johannes Hofscheier, Askol Khovanskii and Milena Wrobel

Toric bundles [In: Toric geometry ; 27 March - 2 April 2022 ; report no. 17/2022]

In: Oberwolfach reports, 19 (2022) 2, pp. 906-909
BibTex DOI: 10.4171/OWR/2022/17 Link: publications.mfo.de
inJournal
2022 Journal Open Access
Askol Khovanskii, Ivan Limonchenko and Leonid Monin

Cohomology rings of quasitoric bundles

In: Filomat, 36 (2022) 19, pp. 6513-6537
BibTex DOI: 10.2298/FIL2219513K ArXiv: 2112.14970
Preprint
2022 Repository Open Access
Ruben Merlijn van Dijk and Enis Kaya

Computation of admissible Arakelov-Green functions on metrized graphs

BibTex ArXiv: 2208.05857
inJournal
2022 Repository Open Access
Enis Kaya

Explicit Vologodsky integration for hyperelliptic curves

In: Mathematics of computation, 91 (2022) 337, pp. 2367-2396
BibTex DOI: 10.1090/mcom/3720 ArXiv: 2008.03774
inJournal
2022 Repository Open Access
Ivan Limonchenko, Leonid Monin and Askol Khovanskii

Generalized virtual polytopes and quasitoric manifolds

In: Trudy Matematiceskogo Instituta Imeni V. A. Steklova, 318 (2022), pp. 139-165
BibTex DOI: 10.4213/tm4272 ArXiv: 2204.00114
inJournal
2022 Repository Open Access
Ivan Limonchenko, Leonid Monin and Askol Khovanskii

Generalized virtual polytopes and quasitoric manifolds [Translation from Tr. Mat. Inst. Steklova 318, 139-165 (2022)]

In: Proceedings of the Steklov Institute of Mathematics, 318 (2022) 1, pp. 126-149
BibTex DOI: 10.1134/S0081543822040095 ArXiv: 2204.00114
inBook
2022 Repository Open Access
Daniele Agostini, Türkü Özlüm Celik and Demir Eken

Numerical reconstruction of curves from their Jacobians

In: Arithmetic, geometry, cryptography, and coding theory 2021 : 18th international conference ; May 31-June 4, 2021 Centre International de Rencontres Mathématiques, Marseille, France / Samuele Anni... (eds.)
Providence, R.I. : American Mathematical Society, 2022. - pp. 1-12
(Contemporary mathematics ; 779)
BibTex DOI: 10.1090/conm/779 ArXiv: 2103.03138
inJournal
2022 Journal Open Access
Claudia Fevola and Christiane Görgen

The mathematical research-data repository MathRepo

In: Computeralgebra-Rundbrief, 70 (2022), pp. 16-20
BibTex ArXiv: 2202.04022 Link: fachgruppe-computeralgebra.de
inJournal
2021 Repository Open Access
Claudia Fevola, Daniele Agostini, Taylor Brysiewicz, Lukas Kühne, Bernd Sturmfels and Simon Telen

Likelihood degenerations [In: Mini-workshop : scattering amplitudes, cluster algebras, and positive geometries ; 5 December - 11 December 2021 ; report no. 57/2021]

In: Oberwolfach reports, 18 (2021) 4, pp. 3112-3114
BibTex DOI: 10.4171/OWR/2021/57 Link: publications.mfo.de
inJournal
2021 Repository Open Access
Daniele Agostini, Ignacio Barros and Kuan-Wen Lai

On the irrationality of moduli spaces of \(K3\) and abelian surfaces [In: Classical algebraic geometry ; 20 June - 26 June 2021 ; report no. 29/2021]

In: Oberwolfach reports, 18 (2021) 2, pp. 1557-1558
BibTex DOI: 10.4171/OWR/2021/29 Link: publications.mfo.de
inJournal
2021 Journal Open Access
Daniele Agostini and Lynn Chua

Computing theta functions with Julia

In: Journal of software for algebra and geometry, 11 (2021) 1, pp. 41-51
BibTex DOI: 10.2140/jsag.2021.11.41 ArXiv: 1906.06507
Preprint
2021 Repository Open Access
Askol Khovanskii and Leonid Monin

Gorenstein algebras and toric bundles

BibTex ArXiv: 2106.15562
inJournal
2021 Repository Open Access
Mateusz Michałek, Leonid Monin and Jarosław Wiśniewski

Maximum likelihood degree, complete quadrics and \({\mathbb C}^*\)-action

In: SIAM journal on applied algebra and geometry, 5 (2021) 1, pp. 60-85
BibTex DOI: 10.1137/20M1335960 ArXiv: 2004.07735 Code: mathrepo.mis.mpg.de
inJournal
2021 Journal Open Access
Daniele Agostini, Carlos Améndola and Kristian Ranestad

Moment identifiability of homoscedastic Gaussian mixtures

In: Foundations of computational mathematics, 21 (2021) 3, pp. 695-724
BibTex DOI: 10.1007/s10208-020-09469-6 ArXiv: 1905.05141
Preprint
2021 Repository Open Access
Daniele Agostini, Türkü Özlüm Celik and John B. Little

On algebraic theta divisors and rational solutions of the KP equation

BibTex ArXiv: 2112.03147
inJournal
2021 Repository Open Access
Daniele Agostini and Lynn Chua

On the Schottky problem for genus-five Jacobians with a vanishing theta null

In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 22 (2021) 1, pp. 333-350
BibTex DOI: 10.2422/2036-2145.201909_013 ArXiv: 1905.09366
inJournal
2021 Journal Open Access
Claudia Fevola, Yelena Mandelshtam and Bernd Sturmfels

Pencils of quadrics : old and new

In: Le Matematiche, 76 (2021) 2, pp. 319-335
BibTex DOI: 10.4418/2021.76.2.2 ArXiv: 2009.04334
inJournal
2021 Journal Open Access
Daniele Agostini and Ignacio Barros

Pencils on surfaces with normal crossings and the Kodaira dimension of \(\overline{\mathcal{M}}_{g,n}\)

In: Forum of mathematics / Sigma, 9 (2021), e31
BibTex DOI: 10.1017/fms.2021.28 ArXiv: 2008.12826 Code: www.math.hu-berlin.de
inJournal
2021 Journal Open Access
Taylor Brysiewicz, Claudia Fevola and Bernd Sturmfels

Tangent quadrics in real 3-space

In: Le Matematiche, 76 (2021) 2, pp. 355-367
BibTex DOI: 10.4418/2021.76.2.4 ArXiv: 2010.10879 Code: mathrepo.mis.mpg.de
inJournal
2021 Repository Open Access
Daniele Agostini, Türkü Özlüm Celik and Bernd Sturmfels

The Dubrovin threefold of an algebraic curve

In: Nonlinearity, 34 (2021) 6, pp. 3783-3812
BibTex DOI: 10.1088/1361-6544/abf08c ArXiv: 2005.08244
inJournal
2021 Journal Open Access
Daniele Agostini, Türkü Özlüm Celik, Julia Struwe and Bernd Sturmfels

Theta surfaces

In: Vietnam journal of mathematics, 49 (2021) 2, pp. 319-347
BibTex DOI: 10.1007/s10013-020-00443-x ArXiv: 2001.11385 Link: math.berkeley.edu
inJournal
2021 Repository Open Access
Fatemeh Mohammadi, Leonid Monin and Matteo Parisi

Triangulations and canonical forms of amplituhedra : a fiber-based approach beyond polytopes

In: Communications in mathematical physics, 387 (2021) 2, pp. 927-972
BibTex DOI: 10.1007/s00220-021-04160-5 ArXiv: 2010.07254
inJournal
2020 Repository Open Access
Martin Vodička, Laurent Manivel, Mateusz Michałek, Leonid Monin and Tim Seynnaeve

Complete quadrics and linear spaces of symmetric matrices [In: Lefschetz properties in algebra, geometry and combinatorics ; 27 September - 3 October 2020 ; report no. 31/2020]

In: Oberwolfach reports, 17 (2020) 4, pp. 1577-1579
BibTex DOI: 10.4171/OWR/2020/31 Link: publications.mfo.de