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Projective Geometry with Applications [Minkštas viršelis]

Edited by (University of Trento, Trento, Italy)
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Projective Geometry with Applications
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Pastovi nuoroda: https://www.kriso.lt/db/9780824792787.html
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.

Three survey papers and 15 research papers consider projective geometry as a focus of study in itself, and as both a tool and subject of other mathematical techniques. The topics include adjunction theory, Fano manifolds, applications of Mori theory, and subvarieties of Grassmannians. Reproduced from typescripts. No subject index. Annotation copyright Book News, Inc. Portland, Or.
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).