LS algebras, valuations, and Schubert varieties
Copyright policy )LS algebras, valuations, and Schubert varieties
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 compatible with the one using Seshadri stratifications in arXiv:2112.03776, showing that LS paths encode vanishing multiplicities with respect to the web of Schubert varieties.
- University of Salento Italy
- University of Cologne Germany
LS algebra, Newton–Okounkov body, Schubert variety, Seshadri stratification, standard monomial theory, valuation, standard monomial theory, Grassmannians, Schubert varieties, flag manifolds, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Mathematics - Algebraic Geometry, Seshadri stratification, Newton-Okounkov body, FOS: Mathematics, Mathematics - Combinatorics, LS algebra, Combinatorics (math.CO), 14M15, 14M25, Representation Theory (math.RT), Toric varieties, Newton polyhedra, Okounkov bodies, valuation, Algebraic Geometry (math.AG), Mathematics - Representation Theory, Schubert variety
LS algebra, Newton–Okounkov body, Schubert variety, Seshadri stratification, standard monomial theory, valuation, standard monomial theory, Grassmannians, Schubert varieties, flag manifolds, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Mathematics - Algebraic Geometry, Seshadri stratification, Newton-Okounkov body, FOS: Mathematics, Mathematics - Combinatorics, LS algebra, Combinatorics (math.CO), 14M15, 14M25, Representation Theory (math.RT), Toric varieties, Newton polyhedra, Okounkov bodies, valuation, Algebraic Geometry (math.AG), Mathematics - Representation Theory, Schubert variety
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