New results on fat points schemes in $\mathbb{P}^2$

Marcin Dumnicki; Tomasz Szemberg; Halszka Tutaj-Gasińska

doi:10.3934/era.2013.20.51

Article Contents

2013, Volume 20: 51-54. Doi: 10.3934/era.2013.20.51

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New results on fat points schemes in $\mathbb{P}^2$

1.
Jagiellonian University, Institute of Mathematics, Łojasiewicza 6, PL-30-348 Kraków
2.
Instytut Matematyki UP, Podchorążych 2, PL-30-084 Kraków

Received: January 31, 2013

Published: January 2013

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Abstract

The purpose of this note is to announce two results, Theorem A and Theorem B below, concerning geometric and algebraic properties of fat points in the complex projective plane. Their somewhat technical proofs are available in [10] and will be published elsewhere. Here we present only main ideas which are fairly transparent.

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Mathematics Subject Classification: Primary: 14C20; Secondary: 14F17.

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References

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