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19952026
most citedHyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces

224 citations

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Showing 2001 · math.AGShow all

6 papers · 2 filters

math.AG2001★ 6 cited

A geometric approach to Standard Monomial Theory

M. Brion, V. Lakshmibai

We obtain a geometric construction of a ``standard monomial basis'' for the homogeneous coordinate ring associated with any ample line bundle on any flag variety. This basis is com…

math.AG2001★ 28 cited

On the vanishing of higher syzygies of curves

Marian Aprodu

The present paper is related to a conjecture made by Green and Lazarsfeld concerning 1-linear syzygies of curves embedded by complete linear systems of sufficiently large degrees.…

math.AG2001★ 1 cited

Rational curves and rational singularities

Hubert Flenner, Mikhail Zaidenberg

We study rational curves on algebraic varieties, especially on normal affine varieties endowed with a $\C^*$-action. For varieties with an isolated singularity, we show that the pr…

math.AG2001

Triality, exceptional Lie algebras and Deligne dimension formulas

J. M. Landsberg, L. Manivel

We give a computer free proof of the Deligne, Cohen and deMan formulas for the dimensions of the irreducible -modules appearing in the tensor powers of , where ranges ove…

math.AG2001★ 2 cited

Positivity in the Grothendieck group of complex flag varieties

Michel Brion

We prove a conjecture of A. S. Buch concerning the structure constants of the Grothendieck ring of a flag variety with respect to its basis of Schubert structure sheaves. For this,…

math.AG2001

The virtual Poincare polynomials of homogeneous spaces

Michel Brion, Emmanuel Peyre

We factor the virtual Poincare polynomial of every homogeneous space G/H, where G is a complex connected linear algebraic group and H is an algebraic subgroup, as $t^{2u} (t^2-1)^r…