On the Cone of Effective Surfaces on A3

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Samuel Grushevsky
  • Klaus Hulek

Organisationseinheiten

Externe Organisationen

  • Stony Brook University (SBU)
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Details

OriginalspracheEnglisch
Seiten (von - bis)657-703
Seitenumfang47
FachzeitschriftMoscow mathematical journal
Jahrgang22
Ausgabenummer4
PublikationsstatusVeröffentlicht - Okt. 2022

Abstract

We determine five extremal effective rays of the four-dimensional cone of effective surfaces on the toroidal compactification A3 of the moduli space A3 of complex principally polarized abelian threefolds, and we conjecture that the cone of effective surfaces is generated by these surfaces. As the surfaces we define can be defined in any genus g ≥ 3, we further conjecture that they generate the cone of effective surfaces on the perfect cone compactification APerf g for any g ≥ 3.

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On the Cone of Effective Surfaces on A3. / Grushevsky, Samuel; Hulek, Klaus.
in: Moscow mathematical journal, Jahrgang 22, Nr. 4, 10.2022, S. 657-703.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Grushevsky S, Hulek K. On the Cone of Effective Surfaces on A3. Moscow mathematical journal. 2022 Okt;22(4):657-703. doi: 10.17323/1609-4514-2022-22-4-657-703
Grushevsky, Samuel ; Hulek, Klaus. / On the Cone of Effective Surfaces on A3. in: Moscow mathematical journal. 2022 ; Jahrgang 22, Nr. 4. S. 657-703.
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KW - Moduli spaces

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