The coarse moduli space of a flat analytic groupoid
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 605495939 | ||
| 003 | CHVBK | ||
| 005 | 20210128100533.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150201xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10231-013-0373-3 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10231-013-0373-3 | ||
| 245 | 0 | 4 | |a The coarse moduli space of a flat analytic groupoid |h [Elektronische Daten] |c [Simone Borghesi, Giuseppe Tomassini] |
| 520 | 3 | |a Let $$\mathcal X $$ X be a flat analytic groupoid $$R_X\stackrel{s}{\underset{t}{\rightrightarrows }}X$$ R X ⇉ t s X such that the holomorphic map $$j=(s,t):R_X\rightarrow X\times X$$ j = ( s , t ) : R X → X × X is finite. In this paper, we prove that there exist a (unique up to isomorphism) complex space $$Q(\mathcal X )$$ Q ( X ) and a holomorphic map $$q:X\rightarrow Q(\mathcal X )$$ q : X → Q ( X ) which is a GC quotient (see Definition3.1). This extends to analytic groupoids the Main Theorem proved by Keel and Mori in the algebraic context (Keel and Mori in Ann Math 145(1):193-213, 1997, 1.1 Theorem). | |
| 540 | |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2013 | ||
| 690 | 7 | |a Analytic groupoids |2 nationallicence | |
| 690 | 7 | |a Several complex variables |2 nationallicence | |
| 690 | 7 | |a Quotients of complex spaces |2 nationallicence | |
| 690 | 7 | |a Coarse moduli space |2 nationallicence | |
| 700 | 1 | |a Borghesi |D Simone |u Università degli Studi di Milano-Bicocca, Via Cozzi, 53, 20125, Milano, Italy |4 aut | |
| 700 | 1 | |a Tomassini |D Giuseppe |u Scuola Normale Superiore, Piazza dei Cavalieri, 7, 56126, Pisa, Italy |4 aut | |
| 773 | 0 | |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/1(2015-02-01), 247-257 |x 0373-3114 |q 194:1<247 |1 2015 |2 194 |o 10231 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10231-013-0373-3 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10231-013-0373-3 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Borghesi |D Simone |u Università degli Studi di Milano-Bicocca, Via Cozzi, 53, 20125, Milano, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Tomassini |D Giuseppe |u Scuola Normale Superiore, Piazza dei Cavalieri, 7, 56126, Pisa, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/1(2015-02-01), 247-257 |x 0373-3114 |q 194:1<247 |1 2015 |2 194 |o 10231 | ||