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Title:
Deformation classification of real non-singular cubic 3-folds with marked real line
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Abstract:
Over the complex field such a classification is well known: all the pairs (non-singular cubic 3-fold, a marked line) are deformation equivalent. As often, over the real field the picture is more diverse. Already non-singular cubic 3-folds themselves form 9 deformation classes. To give the answer to the problem with lines involved, we will discuss a natural correspondence between real cubic 3-folds and real plane quintics. The lines on a non-singular cubic 3-fold form a non-singular surface, called the Fano surface of the cubic. The classification of pairs (cubic 3-fold, marked line) is based on the study of the monodromy action on the set of real components of Fano surfaces. Here, we will use old
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