Results 21 to 30 of about 2,805,734 (255)

A geometric characterization of toric varieties [PDF]

open access: yesDuke Mathematical Journal, 2018
We prove a conjecture of Shokurov which characterises toric varieties using log pairs.
Morgan V. Brown   +3 more
openaire   +7 more sources

Inferring reaction network structure from single-cell, multiplex data, using toric systems theory. [PDF]

open access: yesPLoS Computational Biology, 2019
The goal of many single-cell studies on eukaryotic cells is to gain insight into the biochemical reactions that control cell fate and state. In this paper we introduce the concept of Effective Stoichiometric Spaces (ESS) to guide the reconstruction of ...
Shu Wang   +3 more
doaj   +2 more sources

Rouquier dimension is Krull dimension for normal toric varieties [PDF]

open access: yesEuropean Journal of Mathematics, 2023
We prove that for any normal toric variety, the Rouquier dimension of its bounded derived category of coherent sheaves is equal to its Krull dimension.
David Favero, Jesse Huang
semanticscholar   +1 more source

A short resolution of the diagonal for smooth projective toric varieties of Picard rank 2 [PDF]

open access: yesAlgebra & Number Theory, 2022
Given a smooth projective toric variety $X$ of Picard rank 2, we resolve the diagonal sheaf on $X \times X$ by a linear complex of length $\dim{X}$ consisting of finite direct sums of line bundles.
Michael K. Brown, Mahrud Sayrafi
semanticscholar   +1 more source

Tate resolutions on toric varieties [PDF]

open access: yesJournal of the European Mathematical Society (Print), 2021
We develop an analogue of Eisenbud-Floystad-Schreyer's Tate resolutions for toric varieties. Our construction, which is given by a noncommutative analogue of a Fourier- Mukai transform, works quite generally and provides a new perspective on the ...
Michael K. Brown, D. Erman
semanticscholar   +1 more source

Nash blowups of toric varieties in prime characteristic [PDF]

open access: yesCollectanea Mathematica, 2022
We initiate the study of the resolution of singularities properties of Nash blowups over fields of prime characteristic. We prove that the iteration of normalized Nash blowups desingularizes normal toric surfaces. We also introduce a prime characteristic
Daniel Duarte   +2 more
semanticscholar   +1 more source

Automorphisms of products of toric varieties [PDF]

open access: yesMathematical Research Letters, 2021
A BSTRACT . We give an explicit description of the automorphism group of a product of complete toric varieties over an arbitrary field in terms of the respective automorphism groups of its components.
Alvaro Liendo, G. Arteche
semanticscholar   +1 more source

Aspects of functoriality in homological mirror symmetry for toric varieties [PDF]

open access: yesAdvances in Mathematics, 2020
We study homological mirror symmetry for toric varieties, exploring the relationship between various Fukaya-Seidel categories which have been employed for constructing the mirror to a toric variety.
Andrew D. Hanlon, Jeffrey Hicks
semanticscholar   +1 more source

Is Every Toric Variety an M-variety? [PDF]

open access: yesmanuscripta mathematica, 2006
A complex algebraic variety X defined over the real numbers is called an M-variety if the sum of its Betti numbers (for homology with closed supports and coefficients in Z/2) coincides with the corresponding sum for the real part of X. It has been known for a long time that any nonsingular complete toric variety is an M-variety.
Bihan, Frederic   +3 more
openaire   +3 more sources

The signature of a toric variety [PDF]

open access: yesDuke Mathematical Journal, 2002
26 pages, to appear in Duke Math ...
Leung, Naichung Conan, Reiner, Victor
openaire   +4 more sources

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