2 citations · 7 across the 11 of their papers we have counts for
10 papers · 1 filter
Tropical symplectic flag varieties: a Lie-theoretic approach
George Balla, Xin Fang
We study tropicalization of symplectic flag varieties with respect to the Plücker embedding. We identify a particular maximal prime cone in this tropicalization by explicitly givin…
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…
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…
Seshadri stratifications and standard monomial theory
Rocco Chirivì, Xin Fang, Peter Littelmann
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 deg…