Abstract
We defined flat degenerations in §4.4. In this chapter, we give two examples of flat degenerations of the cone over a Schubert variety. We then explore two additional geometric properties of Schubert varieties: the degree and the property of being Gorenstein; we give a combinatorial characterization for Gorenstein Schubert varieties. We also describe a Gröbner basis for the defining ideal of the Grassmannian variety G d, n .
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Lakshmibai, V., Brown, J. (2015). Flat Degenerations. In: The Grassmannian Variety. Developments in Mathematics, vol 42. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-3082-1_7
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DOI: https://doi.org/10.1007/978-1-4939-3082-1_7
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