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Hadamard Products of Symbolic Powers and Hadamard Fat Grids

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Bibliographic Details
Main Authors: I. Bahmani, Jafarloo, C., Bocci, E., Guardo
Format: Book
Language:English
Published: Springer 2023
Subjects:
I(P)m⋆I(Q)n=I(P⋆Q)m+n−1
Waldschmidt constant and resurgence
Online Access:https://link.springer.com/article/10.1007/s00009-023-02375-5
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7625
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spelling oai:localhost:PNK-76252023-04-06T03:47:06Z Hadamard Products of Symbolic Powers and Hadamard Fat Grids I. Bahmani, Jafarloo C., Bocci E., Guardo I(P)m⋆I(Q)n=I(P⋆Q)m+n−1 Waldschmidt constant and resurgence CC BY In this paper we address the question if, for points P,Q∈P2, I(P)m⋆I(Q)n=I(P⋆Q)m+n−1 and we obtain different results according to the number of zero coordinates in P and Q. Successively, we use our results to define the so called Hadamard fat grids, which are the result of the Hadamard product of two sets of collinear points with given multiplicities. The most important invariants of Hadamard fat grids, as minimal resolution, Waldschmidt constant and resurgence, are then computed. 2023-04-06T03:47:06Z 2023-04-06T03:47:06Z 2023 Book https://link.springer.com/article/10.1007/s00009-023-02375-5 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7625 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic I(P)m⋆I(Q)n=I(P⋆Q)m+n−1
Waldschmidt constant and resurgence
spellingShingle I(P)m⋆I(Q)n=I(P⋆Q)m+n−1
Waldschmidt constant and resurgence
I. Bahmani, Jafarloo
C., Bocci
E., Guardo
Hadamard Products of Symbolic Powers and Hadamard Fat Grids
description CC BY
format Book
author I. Bahmani, Jafarloo
C., Bocci
E., Guardo
author_facet I. Bahmani, Jafarloo
C., Bocci
E., Guardo
author_sort I. Bahmani, Jafarloo
title Hadamard Products of Symbolic Powers and Hadamard Fat Grids
title_short Hadamard Products of Symbolic Powers and Hadamard Fat Grids
title_full Hadamard Products of Symbolic Powers and Hadamard Fat Grids
title_fullStr Hadamard Products of Symbolic Powers and Hadamard Fat Grids
title_full_unstemmed Hadamard Products of Symbolic Powers and Hadamard Fat Grids
title_sort hadamard products of symbolic powers and hadamard fat grids
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s00009-023-02375-5
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7625
_version_ 1762456092813557760
score 8.891053

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