2018 次元に関する帰納法

base change theorem

• [LANDESMAN] THE SMOOTH BASE CHANGE THEOREM
• [SGA4h] COHOMOLOGIE ETALE

[SGA4h]では、

• proper base change theorem
  をelementary fibrationを用いて相対1次元の場合に帰着させることで証明している。(EXPOSE 1.4)
• smooth base change theorem
  open immertionのlocally acyclicityを示すことが要点。(EXPOSE1. th 5.2.1)

V-filtration

• [Budur] On the V-filtration of D-modules
• [Lonergan] The V -filtration and vanishing and nearby cycles

b-function

How to glue perverse sheaves

• [Lichtenstein] Vanishing cycles for algebraic D-modules
• [Reich] Notes on Beilinson’s “How to glue perverse sheaves”

local monodromy theorem

• [Katz] NILPOTENT CONNECTIONS. AND THE MONODROMY THEOREM : APPLICATIONS OF A RESULT OF TURRITTIN

mixed Hodge modules

• [Saito1] Hodge加 群について
• [Saitoh2] A young person’s guide to mixed Hodge modules
• [Schnell] An overview of Morihiko Saito’s theory of mixed Hodge modules

mixed twistor D-modules

• [Mochizuki] Mixed twistor D-modules

PartⅠでR-tripleを用いた貼り合わせを議論している。

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