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Gromov-Witten Theory: Mirror Symmetry, Birational Geometry, and the Classification of Fano Manifolds

Publications

Databases of quantum periods for Fano manifolds

Author(s): Tom Coates and Alexander M. Kasprzyk
Published in: Scientific Data, 2022, ISSN 2052-4463
Publisher: Nature Research
DOI: 10.1038/s41597-022-01232-6

Smoothing Toric Fano Surfaces Using the Gross-Siebert Algorithm

Author(s): Thomas Prince
Published in: Proceedings of the London Mathematical Society, 2018, ISSN 0024-6115
Publisher: Oxford University Press
DOI: 10.1112/plms.12153

Mirror symmetry for the Tate curve via tropical and log corals

Author(s): Arg��z, H��lya
Published in: Journal of the London Mathematical Society, 2022, ISSN 0024-6107
Publisher: Oxford University Press
DOI: 10.1112/jlms.12515

Real loci in (log) Calabi–Yau manifolds via Kato–Nakayama spaces of toric degenerations

Author(s): Hülya Argüz
Published in: European Journal of Mathematics, 2021, ISSN 2199-675X
Publisher: Springer
DOI: 10.1007/s40879-021-00454-z

Hodge-theoretic mirror symmetry for toric stacks

Author(s): Tom Coates, Alessio Corti, Hiroshi Iritani, Hsian-Hua Tseng
Published in: Journal of Differential Geometry, 2020, ISSN 0022-040X
Publisher: International Press
DOI: 10.4310/jdg/1577502022

On the Cohomology Groups of Real Lagrangians in Calabi–Yau Threefolds

Author(s): Hülya Argüz; Thomas Prince
Published in: Experimental Mathematics, 2021, ISSN 1058-6458
Publisher: A K Peters Ltd.
DOI: 10.1080/10586458.2021.1926006

Maximally mutable Laurent polynomials

Author(s): Tom Coates; Alexander M. Kasprzyk; Giuseppe Pitton; Ketil Tveiten
Published in: Proceedings of the Royal Society A, 2021, ISSN 1364-5021
Publisher: Royal Society of London
DOI: 10.1098/rspa.2021.0584

The tropical superpotential for P^2

Author(s): Thomas Prince
Published in: Algebraic Geometry, 2020, ISSN 2313-1691
Publisher: Foundation Compositio Mathematica

Real Lagrangians in Calabi-Yau Threefolds

Author(s): Hülya Argüz; Thomas Prince
Published in: "Proceedings of the London Mathematical Society, London Mathematical Society, 2020, 121 (2), pp.287-311. ⟨10.1112/plms.12324⟩", 2020, ISSN 0024-6115
Publisher: Oxford University Press
DOI: 10.48550/arxiv.1908.06685

The Abelian/Nonabelian Correspondence and Gromov–Witten Invariants of Blow-Ups

Author(s): Tom Coates, Wendelin Lutz, and Qaasim Shafi
Published in: Forum of Mathematics, Sigma, 2022, ISSN 2050-5094
Publisher: Cambridge University Press
DOI: 10.1017/fms.2022.46

Unwinding Toric Degenerations and Mirror Symmetry for Grassmannians

Author(s): Tom Coates, Charles Doran, Elana Kalashnikov
Published in: Forum of Mathematics, Sigma, 2022, ISSN 2050-5094
Publisher: Cambridge University Press
DOI: 10.1017/fms.2022.98

E8 spectral curves

Author(s): Andrea Brini; Andrea Brini; Andrea Brini
Published in: https://hal.archives-ouvertes.fr/hal-01639748, 2020, ISSN 0024-6115
Publisher: Oxford University Press
DOI: 10.1112/plms.12331

On the “Vacuum” Dam-Break Problem: Exact Solutions and Their Long Time Asymptotics

Author(s): Roberto Camassa; Gregorio Falqui; Giovanni Ortenzi; Marco Pedroni; Giuseppe Pitton
Published in: SIAM Journal on Applied Mathematics, 2022, ISSN 0036-1399
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1266836

Laurent Inversion

Author(s): T Coates, A Kasprzyk, T Prince
Published in: Journal of Pure and Applied Mathematics Quarterly, 2019, ISSN 1558-8599
Publisher: International Press

Four dimensional Fano quiver flag zero loci

Author(s): E Kalashnikov, with an Appendix by T Coates, A Kasprzyk, and E Kalashnikov
Published in: Proceedings of the Royal Society A, 2019, ISSN 1364-5021
Publisher: Royal Society of London

Gromov-Witten Invariants of Local P^2 and Modular Forms

Author(s): T Coates, H Iritani
Published in: Kyoto Journal of Mathematics, 2019, ISSN 2156-2261
Publisher: Duke University Press

Some examples of non-smoothable Gorenstein Fano toric threefolds

Author(s): Petracci, Andrea
Published in: Math. Zeitschrift, 2020, ISSN 0025-5874
Publisher: Springer Verlag

Exterior powers of the adjoint representation and the Weyl ring of $E_8$

Author(s): Brini, Andrea
Published in: J. Algebra, 2020, ISSN 0021-8693
Publisher: Academic Press

Homogeneous deformations of toric pairs

Author(s): Petracci, Andrea
Published in: Manuscripta Math., 2021, ISSN 0025-2611
Publisher: Springer Verlag

The Higher-Dimensional Tropical Vertex

Author(s): Hülya Argüz; Mark Gross
Published in: Geometry and Topology, 2022, ISSN 1465-3060
Publisher: University of Warwick
DOI: 10.48550/arxiv.2007.08347

A note on Schoen's Calabi-Yau threefolds

Author(s): Hülya Argüz, Thomas Prince
Published in: Rendiconti del Seminario Matematico. Università e Politecnico Torino, 2021, ISSN 0373-1243
Publisher: Univ. Torino

REAL LOG CURVES IN TORIC VARIETIES, TROPICAL CURVES, AND LOG WELSCHINGER INVARIANTS

Author(s): Argüz, Hülya; Bousseau, Pierrick
Published in: Annales de I'Institut Fourier, 2022, ISSN 0373-0956
Publisher: Association des Annales de I'Institut Fourier
DOI: 10.5802/aif.3507

Computation and data in the classification of Fano varieties

Author(s): Gavin Brown, Tom Coates, Alessio Corti, Tom Ducat, Liana Heuberger, Alexander Kasprzyk
Published in: Nankai Symposium on Mathematical Dialogues, 2022, ISBN 978-981-19-2327-2
Publisher: Springer Singapore
DOI: 10.48550/arxiv.2211.10069

On the Topology of Fano Smoothings

Author(s): Tom Coates, Alessio Corti, Genival da Silva Jr
Published in: Interactions with lattice polytopes, 2022
Publisher: Springer

Equations of mirrors to log Calabi--Yau pairs via the heart of canonical wall structures

Author(s): Arg��z, H��lya
Published in: 2021
Publisher: arXiv preprint server
DOI: 10.48550/arxiv.2109.08664

On the monodromy of elliptic surfaces

Author(s): Silva, Genival da
Published in: 2019
Publisher: arXiv preprint server
DOI: 10.48550/arxiv.1909.12882

Lagrangian torus fibration models of Fano threefolds

Author(s): Prince, Thomas
Published in: Issue 1, 2018
Publisher: preprint

A splitting of the virtual class for genus one stable maps

Author(s): Coates, Tom; Manolache, Cristina
Published in: Issue 1, 2018
Publisher: preprint

Mirror Symmetry, Laurent Inversion and the Classification of Q-Fano Threefolds

Author(s): Tom Coates, Liana Heuberger, Alexander M. Kasprzyk
Published in: 2022
Publisher: arXiv preprint server
DOI: 10.48550/arxiv.2210.07328

Machine Learning the Dimension of a Polytope

Author(s): Tom Coates, Johannes Hofscheier, Alexander Kasprzyk
Published in: 2022
Publisher: arXiv preprint server
DOI: 10.48550/arxiv.2207.07717

Del Pezzo surfaces with a single 1/k(1,1) singularity

Author(s): Cavey, Daniel; Prince, Thomas
Published in: J. Math. Soc. Japan, 2017, ISSN 0025-5645
Publisher: Mathematical Society of Japan

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