In this note we announce the computation of the triangular spect rum (as defined by P. Balmer)of two classes of tensor triangulated categories which are quite common in algebraic geometry. One of them is the derived category of G-equivariant sheaves on a smooth quasi projective scheme X for a finite group G which acts on X. The other class is the derived category of split super-schemes.
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Univ Lille 1, Lab Math Paul Painleve, Bat M2, F-59665 Villeneuve Dascq, FranceUniv Lille 1, Lab Math Paul Painleve, Bat M2, F-59665 Villeneuve Dascq, France
Dell'Ambrogio, Ivo
Stanley, Donald
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Univ Regina, Dept Math & Stat, Coll West 307-14,3737 Wascana Pkwy, Regina, SK S4S 0A2, CanadaUniv Lille 1, Lab Math Paul Painleve, Bat M2, F-59665 Villeneuve Dascq, France
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Tokyo Gakugei Univ, Dept Math, 4-1-1 Nukuikita Machi, Koganei, Tokyo 1848501, JapanTokyo Gakugei Univ, Dept Math, 4-1-1 Nukuikita Machi, Koganei, Tokyo 1848501, Japan
Aihara, Takuma
Takahashi, Ryo
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Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, JapanTokyo Gakugei Univ, Dept Math, 4-1-1 Nukuikita Machi, Koganei, Tokyo 1848501, Japan
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Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, JapanUniv Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan
Matsui, Hiroki
Takahashi, Ryo
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Nagoya Univ, Grad Sch Math, Chikusa Ku, Furocho, Nagoya, Aichi 4648602, Japan
Univ Kansas, Dept Math, Lawrence, KS 66045 USAUniv Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan