Koppelman formulas on Grassmannians
classification
🧮 math.CV
math.RT
keywords
formulasbundlegrassmannianskoppelmanlineassociatedbergmanbott-borel-weil
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We construct Koppelman formulas on Grassmannians for forms with values in any holomorphic line bundle as well as in the tautological vector bundle and its dual. As a consequence we obtain some vanishing theorems of the Bott-Borel-Weil type. We also relate the projection part of our formulas to the Bergman kernels associated to the line bundles.
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