Geometric genera for ample vector bundles with regular sections.

Lanteri, 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 &lt; 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 &lt; 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 -