Projective Geometry with Applications
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Table of contents:Remarks on numerically positive and big line bundles; order-sequences and rational curves; classification of smooth congruences with a fundamental curve; on a result of Zak-L'vosky; trisecant formulas for smooth projective varieties; derived triangles and differential systems; computing gaps sequences at Gorenstein singularities; on the Weierstrass weights at Gorenstein singularities; Weierstrass Loci and generalizations; a problem of trigonality for some Fano varieties; families of singular meromorphic foliations; on stable sheaves on algebraic surfaces; cohomology of generi...
Table of contents:
Remarks on numerically positive and big line bundles; order-sequences and rational curves; classification of smooth congruences with a fundamental curve; on a result of Zak-L'vosky; trisecant formulas for smooth projective varieties; derived triangles and differential systems; computing gaps sequences at Gorenstein singularities; on the Weierstrass weights at Gorenstein singularities; Weierstrass Loci and generalizations; a problem of trigonality for some Fano varieties; families of singular meromorphic foliations; on stable sheaves on algebraic surfaces; cohomology of generic rank 2 stable bundles on Fano 3-folds of index 2; linear series of low degree on plane curves and the Castelnuovo function; rational curves on Calabi-Yau manifolds - verifying prediction of mirror symmetry. (Part contents).
This work presents original, refereed papers that explore current topics in projective geometry, revealing a locus of mathematical techniques and approaches applicable to and informed by algebraic geometry, complex analysis, commutative algebra and number theory. Diverse subjects such as adjunction theory, Fano manifolds, applications of Mori theory, and subvarieties of Grassmannians, are covered.
Remarks on numerically positive and big line bundles; order-sequences and rational curves; classification of smooth congruences with a fundamental curve; on a result of Zak-L'vosky; trisecant formulas for smooth projective varieties; derived triangles and differential systems; computing gaps sequences at Gorenstein singularities; on the Weierstrass weights at Gorenstein singularities; Weierstrass Loci and generalizations; a problem of trigonality for some Fano varieties; families of singular meromorphic foliations; on stable sheaves on algebraic surfaces; cohomology of generic rank 2 stable bundles on Fano 3-folds of index 2; linear series of low degree on plane curves and the Castelnuovo function; rational curves on Calabi-Yau manifolds - verifying prediction of mirror symmetry. (Part contents).
This work presents original, refereed papers that explore current topics in projective geometry, revealing a locus of mathematical techniques and approaches applicable to and informed by algebraic geometry, complex analysis, commutative algebra and number theory. Diverse subjects such as adjunction theory, Fano manifolds, applications of Mori theory, and subvarieties of Grassmannians, are covered.