# Geometric genera for ample vector bundles with regular sections.

Revista Matemática Complutense (2000)

- Volume: 13, Issue: 1, page 33-48
- ISSN: 1139-1138

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topLanteri, Antonio. "Geometric genera for ample vector bundles with regular sections.." Revista Matemática Complutense 13.1 (2000): 33-48. <http://eudml.org/doc/44367>.

@article{Lanteri2000,

abstract = {Let X be a smooth complex projective variety of dimension n ≥ 3. A notion of geometric genus pg(X,E) for ample vector bundles E of rank r < n on X admitting some regular sections is introduced. The following inequality holds: pg(X,E) ≥ hn-r,0(X). The question of characterizing equality is discussed and the answer is given for E decomposable of corank 2. Some conjectures suggested by the result are formulated.},

author = {Lanteri, Antonio},

journal = {Revista Matemática Complutense},

keywords = {Espacios y haces de fibras; Variedades proyectivas; geometric genus; ample vector bundles; adjunction theory; vanishing conditions; Koszul cohomology},

language = {eng},

number = {1},

pages = {33-48},

title = {Geometric genera for ample vector bundles with regular sections.},

url = {http://eudml.org/doc/44367},

volume = {13},

year = {2000},

}

TY - JOUR

AU - Lanteri, Antonio

TI - Geometric genera for ample vector bundles with regular sections.

JO - Revista Matemática Complutense

PY - 2000

VL - 13

IS - 1

SP - 33

EP - 48

AB - Let X be a smooth complex projective variety of dimension n ≥ 3. A notion of geometric genus pg(X,E) for ample vector bundles E of rank r < n on X admitting some regular sections is introduced. The following inequality holds: pg(X,E) ≥ hn-r,0(X). The question of characterizing equality is discussed and the answer is given for E decomposable of corank 2. Some conjectures suggested by the result are formulated.

LA - eng

KW - Espacios y haces de fibras; Variedades proyectivas; geometric genus; ample vector bundles; adjunction theory; vanishing conditions; Koszul cohomology

UR - http://eudml.org/doc/44367

ER -

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