We study l-very ample, ample and semi-ample divisors on the blown-up projective space Pn in a collection of points in general position. We establish Fujita's conjectures for all ample divisors with the number of points bounded above by 2n and for an in nite family of ample divisors with an arbitrary number of points.
Positivity of divisors on blow-up projective spaces, I / Dumitrescu, Olivia; Postinghel, Elisa. - In: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE. - ISSN 2036-2145. - 2023, XXIV:2(2023), pp. 599-618. [10.2422/2036-2145.201803_010]
Positivity of divisors on blow-up projective spaces, I
Postinghel, Elisa
2023-01-01
Abstract
We study l-very ample, ample and semi-ample divisors on the blown-up projective space Pn in a collection of points in general position. We establish Fujita's conjectures for all ample divisors with the number of points bounded above by 2n and for an in nite family of ample divisors with an arbitrary number of points.File in questo prodotto:
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