{'fraction_non_alphanumeric': 0.020253164556962026, 'fraction_numerical': 0.02531645569620253, 'mean_word_length': 4.6571428571428575, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Smoothable zero dimensional schemes and special projections of algebraic varieties

We study the degrees of generators of the ideal of a projected Veronese variety v2(P3)⊂P9 to P6 depending on the center of projection. This is related to the geometry of zero dimensional schemes of length 8 in A4 , Cremona transforms of P6 , and the geometry of Tonoli Calabi‐Yau threefolds of degree 17 in P6 .