Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Chirivi, Rocco"'
The goal of the paper is twofold: on one side it provides an order structure on the set of all maximal chains in the Bruhat poset of Schubert varieties in a Grassmann variety; on the other hand, using this order structure, it works out explicit formu
Externí odkaz:
http://arxiv.org/abs/2403.08071
We give a complete answer to the local-global divisibility problem for algebraic tori. In particular, we prove that given an odd prime $p$, if $T$ is an algebraic torus of dimension $r< p-1$ defined over a number field $k$, then the local-global divi
Externí odkaz:
http://arxiv.org/abs/2301.05922
Publikováno v:
Pure and Applied Mathematics Quarterly, Volume 20, Number 1, 139--169, 2024
A standard monomial theory for Schubert varieties is constructed exploiting (1) the geometry of the Seshadri stratifications of Schubert varieties by their Schubert subvarieties and (2) the combinatorial LS-path character formula for Demazure modules
Externí odkaz:
http://arxiv.org/abs/2207.08904
The existence of a Seshadri stratification on an embedded projective variety provides a flat degeneration of the variety to a union of projective toric varieties, called a semi-toric variety. Such a stratification is said to be normal when each irred
Externí odkaz:
http://arxiv.org/abs/2206.13171
The theory of Seshadri stratifications has been developed by the authors with the intention to build up a new geometric approach towards a standard monomial theory for embedded projective varieties with certain nice properties. In this article, we in
Externí odkaz:
http://arxiv.org/abs/2203.13569
Publikováno v:
Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 33 (2022), no. 4, pp. 925--957
In this paper, we propose an algebraic approach via Lakshmibai-Seshadri (LS) algebras to establish a link between standard monomial theories, Newton-Okounkov bodies and valuations. This is applied to Schubert varieties, where this approach is compati
Externí odkaz:
http://arxiv.org/abs/2203.12992
Publikováno v:
Invent. Math., 234, 489--572 (2023)
We introduce the notion of a Seshadri stratification on an embedded projective variety. Such a structure enables us to construct a Newton-Okounkov simplicial complex and a flat degeneration of the projective variety into a union of toric varieties. W
Externí odkaz:
http://arxiv.org/abs/2112.03776
We construct an explicit equivariant cellular decomposition of the $(4n-1)$-sphere with respect to binary polyhedral groups, and describe the associated cellular homology chain complex. As a corollary of the binary octahedral case, we deduce an $\mat
Externí odkaz:
http://arxiv.org/abs/2006.14417
Autor:
Chirivì, Rocco
The discrete LS algebra over a totally ordered set is the homogeneous coordinate ring of an irreducible projective (normal) toric variety. We prove that this algebra is the ring of invariants of a finite abelian group containing no pseudo-reflection
Externí odkaz:
http://arxiv.org/abs/1809.10191
We introduce rectangular elements in the symmetric group. In the framework of PBW degenerations, we show that in type A the degenerate Schubert variety associated to a rectangular element is indeed a Schubert variety in a partial flag variety of the
Externí odkaz:
http://arxiv.org/abs/1808.01594