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Stabilized Measures of Association /

Passeri, Giovanni,

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Stabilized Measures of Association /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Stabilized Measures of Association // Giovanni Passeri.
Author:	Passeri, Giovanni,
Description:	1 electronic resource (85 pages)
Notes:	Source: Dissertations Abstracts International, Volume: 86-12, Section: B.
Contained By:	Dissertations Abstracts International86-12B.
Subject:	Mathematics. -
Online resource:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=32040460
ISBN:	9798286440634

Stabilized Measures of Association /
Passeri, Giovanni,

Stabilized Measures of Association /Giovanni Passeri. - 1 electronic resource (85 pages)

Source: Dissertations Abstracts International, Volume: 86-12, Section: B.

In late years there has been interest in studying the measures of irrationality, which are a set of birational invariants whose goal is to measure "how far" a given variety is from being rational.More recently Lazarsfeld and Martin proposed a new set of invariants, which they called measures of association, that aim to measure how far two given varieties are from being birationally equivalent.The purpose of this dissertation is to extend such measures to the context in which we allow varieties of different dimensions, obtaining what we called stabilized measures of association. We explore such new invariants in many cases of interests, providing examples and proving a number of results.

English

ISBN: 9798286440634Subjects--Topical Terms:

515831
Mathematics.
Subjects--Index Terms:

Birational invariants

Stabilized Measures of Association /
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100 1 $a Passeri, Giovanni, $e author. $3 3823167
245 1 0 $a Stabilized Measures of Association / $c Giovanni Passeri.
264 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2025
300 $a 1 electronic resource (85 pages)
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338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertations Abstracts International, Volume: 86-12, Section: B.
500 $a Advisors: Lazarsfeld, Robert K.; Schnell, Christian Committee members: Laza, Radu; Pirola, Gian Pietro; Martin, Olivier.
502 $b Ph.D. $c State University of New York at Stony Brook $d 2025.
520 $a In late years there has been interest in studying the measures of irrationality, which are a set of birational invariants whose goal is to measure "how far" a given variety is from being rational.More recently Lazarsfeld and Martin proposed a new set of invariants, which they called measures of association, that aim to measure how far two given varieties are from being birationally equivalent.The purpose of this dissertation is to extend such measures to the context in which we allow varieties of different dimensions, obtaining what we called stabilized measures of association. We explore such new invariants in many cases of interests, providing examples and proving a number of results.
546 $a English
590 $a School code: 0771
650 4 $a Mathematics. $3 515831
650 4 $a Theoretical mathematics. $3 3173530
650 4 $a Applied mathematics. $3 2122814
653 $a Birational invariants
653 $a Stabilized measures
653 $a Lazarsfeld
653 $a Martin proposed
690 $a 0405
690 $a 0642
690 $a 0364
710 2 $a State University of New York at Stony Brook. $b Mathematics. $e degree granting institution. $3 3823091
720 1 $a Lazarsfeld, Robert K. $e degree supervisor.
720 1 $a Schnell, Christian $e degree supervisor.
773 0 $t Dissertations Abstracts International $g 86-12B.
790 $a 0771
791 $a Ph.D.
792 $a 2025
856 4 0 $u https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=32040460