Advances in Algebra and Geometry: University of Hyderabad Conference 2001

Front Matter....Pages i-x
Products of Ideals with Linear Resolution....Pages 1-6
Some Results on Affine Fibrations....Pages 7-24
Koszul Algebras and Modules....Pages 25-37
Local Cohomology Modules of Bigraded Rees Algebras....Pages 39-52
Quadratic Forms over Complete Local Rings....Pages 53-55
Representations of Rank Two Affine Hecke Algebras....Pages 57-91
Gorenstein Sequences....Pages 93-103
On the u-invariant of Function Fields of p-adic Curves....Pages 105-107
Geometry and Galois Theory....Pages 109-128
Semistable Principal Bundles....Pages 129-145
Ramification of Valuations and Singularities....Pages 147-158
Some Homogeneous Rings Associated to Finite Morphisms....Pages 159-169
On a Generalization of Mumford’s Result and Related Question....Pages 171-178
Criterion for Complete Intersection of certain Monomial Curves....Pages 179-184
Vector Bundles on Projective Spaces....Pages 185-188
Nef and Big Vector Bundles....Pages 189-194
The Rings of Noncommutative Projective Geometry....Pages 195-207
An Exterior View Of Modules And Sheaves....Pages 209-216
Solving the Braid Word Problem Via the Fundamental Group....Pages 217-237
Geometric Complexity Theory, P vs. NP and Explicit Obstructions....Pages 239-261
Some Topics in Computational Algebraic Geometry....Pages 263-278
Methods for Computing Normalisations of Affine Rings....Pages 279-295
Back Matter....Pages 296-310