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C S Seshadri
Articles written in Proceedings – Mathematical Sciences
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Volume 87 Issue 2 February 1978 pp 1-54
Geometry of G/P-II [The work of De Concini and Procesi and the basic conjectures]
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Volume 88 Issue 4 September 1979 pp 279-362
Geometry of
G/P —IV (Standard monomial theory for classical types) -
Volume 107 Issue 2 May 1997 pp 101-137
Degenerations of the moduli spaces of vector bundles on curves I
Let
Y be a smooth projective curve degenerating to a reducible curveX with two components meeting transversally at one point. We show that the moduli space of vector bundles of rank two and odd determinant on Ydegenerates to a moduli space onX which has nice properties, in particular, it has normal crossings. We also show that a nice degeneration exists when we fix the determinant. We give some conjectures concerning the degeneration of moduli space of vector bundles onY with fixed determinant and arbitrary rank. -
Volume 109 Issue 2 May 1999 pp 165-201
Let
X 0 be a projective curve whose singularity is one ordinary double point. We construct a birational modelG (n, d ) of the moduli spaceU (n, d ) of stable torsion free sheaves in the case (n, d )= 1, such that G(n, d ) has normal crossing singularities and behaves well under specialization i.e. if a smooth projective curve specializes toX 0, then the moduli space of stable vector bundles of rankn and degreed onX specializes toG (n, d ). This generalizes an earlier work of Gieseker in the rank two case.
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Proceedings – Mathematical Sciences
Volume 133, 2023
All articles
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Editorial Note on Continuous Article Publication
Posted on July 25, 2019Click here for Editorial Note on CAP Mode
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