Results 61 to 70 of about 2,805,734 (255)
On Fano Schemes of Toric Varieties [PDF]
SIAM Journal on Applied Algebra and Geometry, 2017 Let $X_\mathcal{A}$ be the projective toric variety corresponding to a finite set of lattice points $\mathcal{A}$. We show that irreducible components of the Fano scheme $\mathbf{F}_k(X_\mathcal{A})$ parametrizing $k$-dimensional linear subspaces of $X_\mathcal{A}$ are in bijection to so-called maximal Cayley structures for $\mathcal{A}$. We explicitly
Nathan Owen Ilten, Alexandre Zotine
openaire +3 more sources
Vanishing for Hodge ideals on toric varieties [PDF]
Mathematische Nachrichten, 2018 In this article we construct a Koszul‐type resolution of the pth exterior power of the sheaf of holomorphic differential forms on smooth toric varieties and use this to prove a Nadel‐type vanishing theorem for Hodge ideals associated to effective Q ...
Yajnaseni Dutta
semanticscholar +1 more source
Spectrum of equivariant cohomology as a fixed point scheme [PDF]
Épijournal de Géométrie AlgébriqueAn action of a complex reductive group $\mathrm G$ on a smooth projective variety $X$ is regular when all regular unipotent elements in $\mathrm G$ act with finitely many fixed points.
Tamás Hausel, Kamil Rychlewicz
doaj +1 more source
On derived categories of arithmetic toric varieties [PDF]
Annals of K-theory, 2017 We begin a systematic investigation of derived categories of smooth projective toric varieties defined over an arbitrary base field. We show that, in many cases, toric varieties admit full exceptional collections. Examples include all toric surfaces, all
Matthew R. Ballard +2 more
semanticscholar +1 more source
Bott-Samelson Varieties, Subword Complexes and Brick Polytopes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Bott-Samelson varieties factor the flag variety $G/B$ into a product of $\mathbb{C}\mathbb{P}^1$'s with a map into $G/B$. These varieties are mostly studied in the case in which the map into $G/B$ is birational; however in this paper we study fibers of ...
Laura Escobar
doaj +1 more source
Mutations of Laurent Polynomials and Flat Families with Toric Fibers
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We give a general criterion for two toric varieties to appear as fibers in a flat family over P^1. We apply this to show that certain birational transformations mapping a Laurent polynomial to another Laurent polynomial correspond to deformations between
Nathan Owen Ilten
doaj +1 more source
Multiple quantum products in toric varieties
International Journal of Mathematics and Mathematical Sciences, 2002 We generalize the author's formula for Gromov-Witten invariants of symplectic toric manifolds (1999) to those needed to compute the quantum product of more than two classes directly, that is, involving the pullback of the Poincaré dual of the point class
Holger Spielberg
doaj +1 more source
On Higher Syzygies of Projective Toric Varieties
, 2006 Let A be an ample line bundle on a projective toric variety X of dimension n (≥ 2). It is known that the d-th tensor power A⊗d embedds X as a projectively normal variety in Pr := P(H0(X,L⊗d)) if d ≥ n − 1.
Shoetsu Ogata, Ogata, Shoetsu
core +1 more source
Toric varieties vs. horofunction compactifications of polyhedral norms [PDF]
L'Enseignement mathématique, 2017 We establish a natural and geometric 1-1 correspondence between projective toric varieties of dimension $n$ and horofunction compactifications of $\mathbb{R}^n$ with respect to rational polyhedral norms.
L. Ji, A. Schilling
semanticscholar +1 more source
Nuclear Physics B, 2015 For complete intersection Calabi–Yau manifolds in toric varieties, Gross and Haase–Zharkov have given a conjectural combinatorial description of the special Lagrangian torus fibrations whose existence was predicted by Strominger, Yau and Zaslow.
David R. Morrison, M. Ronen Plesser
doaj +1 more source