Geodesic
A BOUND ON EMBEDDING DIMENSIONS OF GEOMETRIC GENERIC FIBERS
Forum of Mathematics, Sigma, Tome 4 (2016)

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The author finds a limit on the singularities that arise in geometric generic fibers of morphisms between smooth varieties of positive characteristic by studying changes in embedding dimension under inseparable field extensions. This result is then used in the context of the minimal model program to rule out the existence of smooth varieties fibered by certain nonnormal del Pezzo surfaces over bases of small dimension. 
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     author = {ZACHARY MADDOCK},
     title = {A {BOUND} {ON} {EMBEDDING} {DIMENSIONS} {OF} {GEOMETRIC} {GENERIC} {FIBERS}},
     journal = {Forum of Mathematics, Sigma},
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     doi = {10.1017/fms.2015.32},
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ZACHARY MADDOCK. A BOUND ON EMBEDDING DIMENSIONS OF GEOMETRIC GENERIC FIBERS. Forum of Mathematics, Sigma, Tome 4 (2016). doi: 10.1017/fms.2015.32

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