東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Strata of Residueless Meromorphic Di...

Lee, Myeongjae,

FindBook

Google Book

Amazon

博客來

Strata of Residueless Meromorphic Differentials /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Strata of Residueless Meromorphic Differentials // Myeongjae Lee.
作者:	Lee, Myeongjae,
面頁冊數:	1 electronic resource (195 pages)
附註:	Source: Dissertations Abstracts International, Volume: 87-01, Section: B.
Contained By:	Dissertations Abstracts International87-01B.
標題:	Mathematics. -
電子資源:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=32041163
ISBN:	9798286446797

Strata of Residueless Meromorphic Differentials /
Lee, Myeongjae,

Strata of Residueless Meromorphic Differentials /Myeongjae Lee. - 1 electronic resource (195 pages)

Source: Dissertations Abstracts International, Volume: 87-01, Section: B.

Generalized strata of meromorphic differentials are loci in the usual strata of differentials, where certain sets of residues sum up to zero. They appear naturally in the boundary of the multi-scale compactification of the usual strata. Enumerating the connected components of generalized strata is necessary to understand the boundary complex of the multi-scale compactification. In the present thesis we investigate the strata of residueless meromorphic differentials, which are the strata with the maximum possible number of conditions imposed on the residues. We prove that the connected components of strata of residueless meromorphic differentials are classified by the well-known topological invariants called hyperellipticity, spin parity, and rotation number. Moreover, in cases of one-dimensional projectivized strata, using the cellular decomposition induced by the period coordinates, we provide the formulae to compute the genus of these strata and the degree of their natural forgetful map to M1,1.

English

ISBN: 9798286446797Subjects--Topical Terms:

515831
Mathematics.
Subjects--Index Terms:

Meromorphic differentials

Strata of Residueless Meromorphic Differentials /
LDR:02556nmm a22004573i 4500 001 2433521
005 20250825062348.5
006 m o d
007 cr|nu||||||||
008 261011s2025 miu||||||m |||||||eng d
020 $a 9798286446797
035 $a (MiAaPQD)AAI32041163
035 $a AAI32041163
040 $a MiAaPQD $b eng $c MiAaPQD $e rda
100 1 $a Lee, Myeongjae, $e author. $3 3823173
245 1 0 $a Strata of Residueless Meromorphic Differentials / $c Myeongjae Lee.
264 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2025
300 $a 1 electronic resource (195 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertations Abstracts International, Volume: 87-01, Section: B.
500 $a Advisors: Grushevsky, Samuel; Takhtajan, Leon Committee members: Lazarsfeld, Robert; Tahar, Guillaume.
502 $b Ph.D. $c State University of New York at Stony Brook $d 2025.
520 $a Generalized strata of meromorphic differentials are loci in the usual strata of differentials, where certain sets of residues sum up to zero. They appear naturally in the boundary of the multi-scale compactification of the usual strata. Enumerating the connected components of generalized strata is necessary to understand the boundary complex of the multi-scale compactification. In the present thesis we investigate the strata of residueless meromorphic differentials, which are the strata with the maximum possible number of conditions imposed on the residues. We prove that the connected components of strata of residueless meromorphic differentials are classified by the well-known topological invariants called hyperellipticity, spin parity, and rotation number. Moreover, in cases of one-dimensional projectivized strata, using the cellular decomposition induced by the period coordinates, we provide the formulae to compute the genus of these strata and the degree of their natural forgetful map to M1,1.
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
650 4 $a Theoretical physics. $3 2144760
653 $a Meromorphic differentials
653 $a Cellular decomposition
653 $a Rotation number
653 $a Topological invariants
653 $a Projectivized strata
690 $a 0405
690 $a 0642
690 $a 0753
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 Grushevsky, Samuel $e degree supervisor.
720 1 $a Takhtajan, Leon $e degree supervisor.
773 0 $t Dissertations Abstracts International $g 87-01B.
790 $a 0771
791 $a Ph.D.
792 $a 2025
856 4 0 $u https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=32041163