On topological invariants of algebraic threefolds with (Q-factorial) singularities
We study local, global and local-to-global properties of threefolds with certain singularities. We prove criteria for these threefolds to be rational homology manifolds and conditions for threefolds to satisfy rational Poincar\'e duality. We relate the topological Euler characteristic of ellipt...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Dokumenttyp: | Article (Journal) Kapitel/Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
6 Apr 2018
|
| In: |
Arxiv
|
| Online-Zugang: | Verlag, Volltext: http://arxiv.org/abs/1804.02424
|
| Verfasserangaben: | Antonella Grassi and Timo Weigand |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1586178024 | ||
| 003 | DE-627 | ||
| 005 | 20220815090305.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 190114s2018 xx |||||o 00| ||eng c | ||
| 035 | |a (DE-627)1586178024 | ||
| 035 | |a (DE-576)516178024 | ||
| 035 | |a (DE-599)BSZ516178024 | ||
| 035 | |a (OCoLC)1341033431 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 29 |2 sdnb | ||
| 100 | 1 | |a Grassi, Antonella |e VerfasserIn |0 (DE-588)1203218036 |0 (DE-627)1688010521 |4 aut | |
| 245 | 1 | 0 | |a On topological invariants of algebraic threefolds with (Q-factorial) singularities |c Antonella Grassi and Timo Weigand |
| 246 | 3 | 0 | |a cohomology classes of divisors on somenormal projective complex varieties |
| 264 | 1 | |c 6 Apr 2018 | |
| 300 | |a 37 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a With an appendix [S. 36-37] by V. Srinivas: The cohomology classes of divisors on somenormal projective complex varieties | ||
| 500 | |a Gesehen am 11.11.2020 | ||
| 520 | |a We study local, global and local-to-global properties of threefolds with certain singularities. We prove criteria for these threefolds to be rational homology manifolds and conditions for threefolds to satisfy rational Poincar\'e duality. We relate the topological Euler characteristic of elliptic Calabi-Yau threefolds with $\mathbb Q$-factorial terminal singularities to dimensions of Lie algebras and certain representations, Milnor and Tyurina numbers and other birational invariants of an elliptic fibration. We give an interpretation in terms of complex deformations. We state a conjecture on the extension of Kodaira's classification of singular fibers on relatively minimal elliptic surfaces to the class of birationally equivalent relatively minimal genus one fibered varieties and we give results in this direction. | ||
| 650 | 4 | |a High Energy Physics - Theory | |
| 650 | 4 | |a Mathematics - Algebraic Geometry | |
| 650 | 4 | |a Mathematics - Geometric Topology | |
| 700 | 1 | |a Weigand, Timo |d 1979- |e VerfasserIn |0 (DE-588)131945610 |0 (DE-627)516190067 |0 (DE-576)298853256 |4 aut | |
| 700 | 1 | |a Srinivas, Vasudevan |d 1958- |e VerfasserIn |0 (DE-588)112913695 |0 (DE-627)691165084 |0 (DE-576)184942276 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Arxiv |d Ithaca, NY : Cornell University, 1991 |g (2018) Artikel-Nummer 1804.02424, 37 Seiten |h Online-Ressource |w (DE-627)509006531 |w (DE-600)2225896-6 |w (DE-576)28130436X |7 nnas |a On topological invariants of algebraic threefolds with (Q-factorial) singularities |
| 773 | 1 | 8 | |g year:2018 |g extent:37 |a On topological invariants of algebraic threefolds with (Q-factorial) singularities |
| 856 | 4 | 0 | |u http://arxiv.org/abs/1804.02424 |x Verlag |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20190114 | ||
| 993 | |a Article | ||
| 994 | |a 2018 | ||
| 998 | |g 131945610 |a Weigand, Timo |m 131945610:Weigand, Timo |d 130000 |d 130300 |e 130000PW131945610 |e 130300PW131945610 |k 0/130000/ |k 1/130000/130300/ |p 2 | ||
| 999 | |a KXP-PPN1586178024 |e 3039735977 | ||
| BIB | |a Y | ||
| JSO | |a {"physDesc":[{"extent":"37 S."}],"relHost":[{"title":[{"title_sort":"Arxiv","title":"Arxiv"}],"recId":"509006531","language":["eng"],"disp":"On topological invariants of algebraic threefolds with (Q-factorial) singularitiesArxiv","note":["Gesehen am 28.05.2024"],"type":{"bibl":"edited-book","media":"Online-Ressource"},"part":{"extent":"37","text":"(2018) Artikel-Nummer 1804.02424, 37 Seiten","year":"2018"},"titleAlt":[{"title":"Arxiv.org"},{"title":"Arxiv.org e-print archive"},{"title":"Arxiv e-print archive"},{"title":"De.arxiv.org"}],"pubHistory":["1991 -"],"id":{"zdb":["2225896-6"],"eki":["509006531"]},"origin":[{"publisherPlace":"Ithaca, NY ; [Erscheinungsort nicht ermittelbar]","publisher":"Cornell University ; Arxiv.org","dateIssuedKey":"1991","dateIssuedDisp":"1991-"}],"physDesc":[{"extent":"Online-Ressource"}]}],"name":{"displayForm":["Antonella Grassi and Timo Weigand"]},"origin":[{"dateIssuedKey":"2018","dateIssuedDisp":"6 Apr 2018"}],"id":{"eki":["1586178024"]},"note":["With an appendix [S. 36-37] by V. Srinivas: The cohomology classes of divisors on somenormal projective complex varieties","Gesehen am 11.11.2020"],"type":{"media":"Online-Ressource","bibl":"chapter"},"recId":"1586178024","language":["eng"],"person":[{"family":"Grassi","given":"Antonella","roleDisplay":"VerfasserIn","display":"Grassi, Antonella","role":"aut"},{"given":"Timo","family":"Weigand","role":"aut","display":"Weigand, Timo","roleDisplay":"VerfasserIn"},{"family":"Srinivas","given":"Vasudevan","roleDisplay":"VerfasserIn","display":"Srinivas, Vasudevan","role":"aut"}],"title":[{"title":"On topological invariants of algebraic threefolds with (Q-factorial) singularities","title_sort":"On topological invariants of algebraic threefolds with (Q-factorial) singularities"}]} | ||
| SRT | |a GRASSIANTOONTOPOLOGI6201 | ||