21 citations · 95 across the 33 of their papers we have counts for
5 papers · 1 filter
Seshadri stratifications and Schubert varieties: a geometric construction of a standard monomial theory
Rocco Chirivì, Xin Fang, Peter Littelmann
A standard monomial theory for Schubert varieties is constructed exploiting (1) the geometry of the Seshadri stratifications of Schubert varieties by their Schubert subvarieties an…
On normal Seshadri stratifications
Rocco Chirivì, Xin Fang, Peter Littelmann
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-tor…
Specialization map for quiver Grassmannians
Giovanni Cerulli Irelli, Francesco Esposito, Xin Fang +1
We define a specialization map between cohomology algebras of quiver Grassmannians of Dynkin type and we prove that it is surjective in type A. This generalizes a result of Lanini…
LS Algebras, Valuations and Schubert Varieties
Rocco Chirivì, Xin Fang, Peter Littelmann
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.…
Seshadri stratification for Schubert varieties and Standard Monomial Theory
Rocco Chirivì, Xin Fang, Peter Littelmann
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 pro…