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Frobenius Splittings

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Connected at Infinity II

Part of the book series: Texts and Readings in Mathematics ((TRM,volume 67))

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Abstract

Frobenius splittings were introduced by V. B. Mehta and A. Ramanathan in [6] and refined further by S. Ramanan and Ramanathan in [9]. Frobenius splittings have proven to be a amazingly effective when they apply. Proofs involving Frobenius splittings tend to be very efficient. Other methods usually require a much more detailed knowledge of the object under study. For instance, while showing that the intersection of one union of Schubert varieties with another union of Schubert varieties is reduced, one does not need to know where that intersection is situated, let alone what it looks like exactly.

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References

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Rajendra Bhatia C. S. Rajan Ajit Iqbal Singh

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van der Kallen, W. (2013). Frobenius Splittings. In: Bhatia, R., Rajan, C.S., Singh, A.I. (eds) Connected at Infinity II. Texts and Readings in Mathematics, vol 67. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-56-9_3

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