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most citedQuantum Inverse Scattering Method and Correlation Functions

866 citations

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math.AG2025★ 2 cited

Fano threefolds

Yuri Prokhorov

The goal of these lecture notes is to present the modern point of view on the classification of Fano threefolds. We tried to offer a self-consistent treatment of the topics covered…

math.AG2025★ 1 cited

Sigma function associated with a hyperelliptic curve with two points at infinity

Takanori Ayano, Victor M. Buchstaber

Baker constructed basic meromorphic functions on the Jacobian variety of a hyperelliptic curve with two points at infinity. We call them Baker functions. The construction is based…

math.AG2025

On p-Jordan constant of Cremona group of rank 2 in odd characteristic

Yifei Chen, Constantin Shramov

We bound the indices of normal abelian subgroups in finite groups contained in the Cremona group of rank 2 over a field of odd characteristic.

math.AG2025

Automorphisms of del Pezzo surfaces without points

Constantin Shramov, Anastasia Vikulova

We study automorphism groups of del Pezzo surfaces without points over a field of zero characteristic, and estimate their Jordan constants.

math.AG2025

On the birational geometry of -Fano threefolds of large Fano index, II

Yuri Prokhorov

This paper is a sequel to [arXiv:2403.18389]. We investigate the rationality problem for -Fano threefolds of Fano index .

math.AG2025

G-coregularity of del Pezzo surfaces

Konstantin Loginov, Victor Przyjalkowski, Andrey Trepalin

We introduce and study the notion of -coregularity of algebraic varieties endowed with an action of a finite group . We compute -coregularity of smooth del Pezzo surfaces…